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Updated: Sep 28, 2025

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
Published on: May 9, 2021
A single oscillating bubble in liquids with high Mach number.
Xiaoxiao Zheng1, Xiaoyu Wang1, Yuning Zhang1
1Key Laboratory of Power Station Energy Transfer Conversion and System (Ministry of Education), School of Energy Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China.
The second-order Mach number equation accurately models bubble oscillations, offering better predictions than the first-order model, especially at high Mach numbers. This enhanced accuracy is crucial for understanding bubble dynamics in various applications.
Area of Science:
- Acoustics and Fluid Dynamics
- Nonlinear Wave Phenomena
Background:
- Bubble oscillations are critical in numerous applications, requiring precise modeling.
- Liquid compressibility significantly impacts high Mach number bubble dynamics.
Purpose of the Study:
- To investigate free oscillating bubbles using a second-order Mach number equation.
- To compare the second-order model with the first-order Keller-Miksis equation.
- To analyze the influence of liquid compressibility on bubble wall motion.
Main Methods:
- Numerical simulations employing the second-order Mach number bubble wall motion equation.
- Experimental verification of the numerical results.
- Solving the revised Keller-Miksis equation (first-order Mach number) for comparative analysis.
Main Results:
- Significant differences in bubble radius, velocity, and acceleration predicted by second-order versus first-order equations at high Mach numbers.
- The second-order equation demonstrates a substantially larger valid prediction range.
- The second-order equation predicts lower dissipated power for high Mach number oscillations.
Conclusions:
- The second-order Mach number equation provides superior accuracy for bubble oscillation modeling, particularly under high Mach number conditions.
- Increased Mach numbers amplify the discrepancies between first-order and second-order predictions.
- The findings enhance the understanding of bubble dynamics and energy dissipation in compressible fluids.
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